Question

prove dimensionally that : v=u+at

Answer 1

quation is v=u+at

dimensional formula of v=(M°LT^-1)

dimensional formula of u=(M°LT^-1)

dimensional formula of a=(M°LT^-2)

dimensional formula of t=(M°L°T)

LHS  is the dimensional formula of v=(M°LT^-1)

RHS=dimensional formula of u+dimensional formula of a×dimensional formula of t=(M°LT^-1)+(M°LT^-2)×(M°L°T)

=(M°LT^-1)+(M°LT^-1)

=2(M°LT^-1)

2 is a dimensionless constant

Answer 2

hey yar here is ur answer
To check the correctness of v = u + at, using dimensions
Dimensional formula of final velocity v = [LT-1]
Dimensional formula of initial velocity u = [LT-1]
Dimensional formula of acceleration x time, at = [LT-2 x T]
= [LT-1]

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